多尺度蒙特卡罗平衡：具有两种费米子味的双色QCD
Multiscale Monte Carlo equilibration: Two-color QCD with two fermion flavors
摘要：
我们证明了最近提出的多尺度热化算法的适用性双色量子色动力学（QCD）与两个质量简并费米子口味。该算法涉及细化的规范配置，已使用重整化群（RG）匹配的粗行动产生的合奏，从而产生一个精细的合奏，是接近的目标精细行动的热化分布，细化合奏随后再热化使用传统的算法。虽然这种算法从纯杨米尔斯理论的推广QCD与动力学费米子是简单的，我们发现，在后者的情况下，该方法是容易受到数值不稳定性的初始阶段的再热时，使用混合蒙特卡罗算法。我们发现，这些不稳定性产生于大的费米子力的演变，这是由于积累的虚假近零模式的狄拉克运营商。我们提出了一个简单的策略来解决这个问题，并证明了快速热化-探测各种胶子和费米子运营商-是可能的，使用这种解决方案。此外，我们研究了再热率的RG匹配的粗和细的行动的敏感性，并确定有效的匹配条件的基础上，各种测量尺度。
英文摘要：
We demonstrate the applicability of a recently proposed multiscale thermalization algorithm to two-color quantum chromodynamics (QCD) with two mass-degenerate fermion flavors. The algorithm involves refining an ensemble of gauge configurations that had been generated using a renormalization group (RG) matched coarse action, thereby producing a fine ensemble that is close to the thermalized distribution of a target fine action; the refined ensemble is subsequently rethermalized using conventional algorithms. Although the generalization of this algorithm from pure Yang-Mills theory to QCD with dynamical fermions is straightforward, we find that in the latter case, the method is susceptible to numerical instabilities during the initial stages of rethermalization when using the hybrid Monte Carlo algorithm. We find that these instabilities arise from large fermion forces in the evolution, which are attributed to an accumulation of spurious near-zero modes of the Dirac operator. We propose a simple strategy for curing this problem, and demonstrate that rapid thermalization--as probed by a variety of gluonic and fermionic operators--is possible with the use of this solution. In addition, we study the sensitivity of rethermalization rates to the RG matching of the coarse and fine actions, and identify effective matching conditions based on a variety of measured scales.
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